SOLUTION: How can you make a fair game (one with probability 1/2 of winning) from tossing an unfair coin? If a coin has probability p of heads (with p not necessarily 1/2), show that for two

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Question 429465: How can you make a fair game (one with probability 1/2 of winning) from tossing an unfair coin? If a coin has probability p of heads (with p not necessarily 1/2), show that for two tosses the events HT and TH have the same probability. Therefore, toss the coin twice: If you get HT call the result a "win," if you get TH call the result a "lose," and if you get HH or TT ignore those tosses and toss it twice more, repeating the procedure until you get HT or TH. "Win" and "lose" are equally likely, so each has probability 1/2 of occurring first.
Any help is great THXS
Found 2 solutions by edjones, richard1234:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
This explains how to make a fair game from tossing an unfair coin. It is not asking you anything.
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
That method works.
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